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Stability of homogeneous deformations of an incompressible elastic body under dead-load surface tractions

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References

  1. Rivlin, R.S.: Large elastic deformations of isotropic materials, II: Some uniqueness theorems for pure homogeneous deformation. Phil. Trans. R. Soc. Lond. A 240 (1948) 491–508.

    Google Scholar 

  2. Rivlin, R.S.: Stability of pure homogeneous deformation of an elastic cube under dead loading. Quart. Appl. Math. 32 (1974) 265–271.

    Google Scholar 

  3. Ball, J.M. and D.G. Schaeffer: Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Math. Proc. Camb. Phil. Soc. 94 (1983) 315–339.

    Google Scholar 

  4. Kearsley, E.A.: Asymmetric stretching of a symmetrically loaded elastic sheet. Int. J. Solids Structures. 22 (1986) 111–119.

    Google Scholar 

  5. MacSithigh, G.P.: Energy-minimal finite deformations of a symmetrically loaded elastic sheet. Q.J. Mech. Appl. Math. 39 (1986) 111–123.

    Google Scholar 

  6. Treloar, L.R.G.: Stresses and birefringence in rubber subjected to general homogeneous strain. Proc. Phys. Soc. 60 (1948) 135–144.

    Google Scholar 

  7. Ball, J.M.: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Phil. Trans. R. Soc. Lond. A 306 (1982) 557–611.

    Google Scholar 

  8. Hestenes, M.: Calculus of Variations and Optimal Control Theory. New York: Robert E. Krieger (1980).

    Google Scholar 

  9. Fosdick, R.L. and G.P. MacSithigh: Minimization in incompressible nonlinear elasticity theory. J. Elasticity 16 (1986) 267–301.

    Google Scholar 

  10. Shield, R.T.: On the stability of finite deformed elastic membranes, I: Stability of a uniformly deformed plane membrane. Z. Angew. Math. Phys. 22 (1971) 1016–1028.

    Google Scholar 

  11. Beatty, M.F.: Some static and dynamic implications of the general theory of elastic stability. Arch. Rational Mech. Anal. 19 (1965) 167–188.

    Google Scholar 

  12. Spector, S.J.: On uniqueness in finite elasticity with general loading. J. Elasticity 10 (1980) 145–161.

    Google Scholar 

  13. Podio-Guidugli, P. and G. Vergara-Caffarelli: On a class of live traction problems in elasticity. Lect. N. Phys. 195 (1984) 291–304.

    Google Scholar 

  14. Chen, Y.C.: Stability of pure homogeneous deformations of an elastic plate with fixed edges. In preparation.

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Chen, YC. Stability of homogeneous deformations of an incompressible elastic body under dead-load surface tractions. J Elasticity 17, 223–248 (1987). https://doi.org/10.1007/BF00049454

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